Part 1
Use a​ t-test to test the claim about the population mean
μ= 52,400 at the given level of significance
α=.10
using the given sample statistics. Assume the population is normally distributed.​
Claim:
μ=52,400​;
α=0.10 Sample​ statistics:
x=51,956​,
s=1600​,
n=15
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Part 1
What are the null and alternative​ hypotheses? Choose the correct answer below.
A.
H0​:
μ≥52,400
Ha​:
μ<52,400
B.
H0​:
μ=52,400
Ha​:
μ≠52,400
C.
H0​:
μ≤52,400
Ha​:
μ>52,400
D.
H0​:
μ≠52,400
Ha​:
μ=52,400
Part 2
What is the value of the standardized test​ statistic?
The standardized test statistic is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 3
What​ is(are) the critical​ value(s)?
The critical​ value(s) is(are)
enter your response here.
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
Part 4
Decide whether to reject or fail to reject the null hypothesis.
A.
Fail to reject
H0.
There
is
enough evidence to reject the claim.
B.
Reject
H0.
There
is not
enough evidence to reject the claim.
C.
Fail to reject
H0.
There
is not
enough evidence to reject the claim.
D.
Reject
H0.
There
is
enough evidence to reject the claim.